Details

sample186.0ms

Algorithm

intervals

Results

96.0ms

552×

body

valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
4	1710
3	614
2	201
1	66
0	28

prune35.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 18.0) y)
0.5b	(* (* j 27.0) k)
5.2b	(* (* (* x 18.0) y) z)
5.7b	(* (* (* (* x 18.0) y) z) t)

rewrite283.0ms

Algorithm

rewrite-expression-head

Rules

37×	`pow1` `add-cbrt-cube` `add-exp-log`
22×	`pow-prod-down` `prod-exp` `cbrt-unprod`
12×	`associate-r`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`associate-l` `*-commutative` `add-log-exp`

Counts

4 → 81

Calls

4 calls:

26.0ms	(* (* x 18.0) y)
28.0ms	(* (* j 27.0) k)
54.0ms	(* (* (* x 18.0) y) z)
169.0ms	(* (* (* (* x 18.0) y) z) t)

series200.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (* x 18.0) y)
36.0ms	(* (* j 27.0) k)
50.0ms	(* (* (* x 18.0) y) z)
85.0ms	(* (* (* (* x 18.0) y) z) t)

simplify2.5s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	3116
1	370
0	137

prune788.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

5.7b	(* (* (* (* x 18.0) y) z) t)
7.9b	(cbrt (* j (* 27.0 k)))
7.9b	(cbrt (* j (* 27.0 k)))
7.9b	(cbrt (* j (* 27.0 k)))

rewrite183.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-cbrt-cube` `add-exp-log`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`add-log-exp`
3×	`cbrt-prod` `pow1/3` `associate-r`
1×	`associate-l` `*-commutative`

Counts

4 → 51

Calls

4 calls:

148.0ms	(* (* (* (* x 18.0) y) z) t)
16.0ms	(cbrt (* j (* 27.0 k)))
8.0ms	(cbrt (* j (* 27.0 k)))
10.0ms	(cbrt (* j (* 27.0 k)))

series492.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* (* (* (* x 18.0) y) z) t)
145.0ms	(cbrt (* j (* 27.0 k)))
156.0ms	(cbrt (* j (* 27.0 k)))
121.0ms	(cbrt (* j (* 27.0 k)))

simplify1.2s

Counts

63 → 63

Iterations

Iter	Nodes
done	5000
2	1477
1	294
0	114

prune896.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize78.0ms

Local error

Found 4 expressions with local error:

5.2b	(* (* (* x 18.0) y) z)
5.7b	(* (* (* (* x 18.0) y) z) t)
7.9b	(cbrt (* j (* 27.0 k)))
7.9b	(cbrt (* j (* 27.0 k)))

rewrite281.0ms

Algorithm

rewrite-expression-head

Rules

27×	`pow1` `add-cbrt-cube` `add-exp-log`
16×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `-un-lft-identity` `associate-r*` `add-cube-cbrt`
4×	`add-log-exp`
2×	`cbrt-prod` `pow1/3` `associate-l` `*-commutative`

Counts

4 → 63

Calls

4 calls:

42.0ms	(* (* (* x 18.0) y) z)
207.0ms	(* (* (* (* x 18.0) y) z) t)
13.0ms	(cbrt (* j (* 27.0 k)))
16.0ms	(cbrt (* j (* 27.0 k)))

series393.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (* (* x 18.0) y) z)
64.0ms	(* (* (* (* x 18.0) y) z) t)
119.0ms	(cbrt (* j (* 27.0 k)))
157.0ms	(cbrt (* j (* 27.0 k)))

simplify1.9s

Counts

75 → 75

Iterations

Iter	Nodes
done	5001
2	2042
1	323
0	126

prune985.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize90.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt j)
5.2b	(* (* (* x 18.0) y) z)
5.7b	(* (* (* (* x 18.0) y) z) t)
7.9b	(cbrt (* j (* 27.0 k)))

rewrite293.0ms

Algorithm

rewrite-expression-head

Rules

27×	`pow1` `add-cbrt-cube` `add-exp-log`
16×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`associate-r`
4×	`cbrt-prod` `add-log-exp`
2×	`pow1/3` `associate-l` `*-commutative`

Counts

4 → 65

Calls

4 calls:

1.0ms	(cbrt j)
79.0ms	(* (* (* x 18.0) y) z)
198.0ms	(* (* (* (* x 18.0) y) z) t)
12.0ms	(cbrt (* j (* 27.0 k)))

series491.0ms

Counts

4 → 12

Calls

4 calls:

258.0ms	(cbrt j)
31.0ms	(* (* (* x 18.0) y) z)
69.0ms	(* (* (* (* x 18.0) y) z) t)
134.0ms	(cbrt (* j (* 27.0 k)))

simplify1.6s

Counts

77 → 77

Iterations

Iter	Nodes
done	5000
2	2124
1	358
0	143

prune805.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes3.4s

Accuracy

83.9% (1.0b remaining)

Error of 1.1b against oracle of 0.1b and baseline of 6.0b

bsearch5.0ms

simplify12.0ms

Iterations

Iter	Nodes
done	74
1	74
0	51

end0.0ms

sample5.9s

Algorithm

intervals

Results

3.9s

16227×

body

valid